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It's hard to tell what you have because your picture shows black on black, but I think if those 2 P traps are connected, you have an illegal S trap. ABS pipe and fitting are cheap, so I would just remove the whole mess and start over and do it right.

It is NOT an "S" trap, nor is it a "double trap", but the trap at the disposer is useless and not necessary. The tee that the disposer is connected to is upside down. So other than these two "defects" and it not being how I would have done it, it is a good DIY kludge. You could also reposition the weight on the sink hose so you could pull the spout out further.